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Finding the Third Proportional to 11,525,545.69 and 24,544,285.88

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Solution

The third proportional to 11,525,545.69 and 24,544,285.88 is: 52,268,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525,545.69 : 24,544,285.88 = 24,544,285.88 : x
  2. Step 2: Convert to fraction form
    11,525,545.69/24,544,285.88 = 24,544,285.88/x
  3. Step 3: Cross multiply
    11,525,545.69x = 24,544,285.88 × 24,544,285.88
  4. Step 4: Simplify right side
    11,525,545.69x = 602,421,969,113,724.50
  5. Step 5: Solve for x
    x = 602,421,969,113,724.50/11,525,545.69
  6. Step 6: Final answer
    x = 52,268,411.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.